The equation is .
Since the -term is squared, the parabola is vertical.
Standard form of the vertical parabola is .
Where
\Vertex : ,
Focus : ,
Axis of symmetry : ,
Directrix : .
The parabola equation .
Write the equation in standard form.
\Compare the above eqation with .
Since , the parabola opens up.
Vertex : ,
Focus : ,
Axis of symmetry : ,
Directrix : .
Construct a table values to graph the general shape of the curve.
\The equation is .
Solve for .
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Graph :
\Graph the vertex, focus, axis of symmetry and directrix of the parabola.
\Plot the points obtained in the above table.
\Connect those points with a smooth curve.
\Graph of :
Vertex : .
Focus : .
Axis of symmetry : .
Directrix : .
Graph of :